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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 515=17, 2013.

Original scientific paper

Cauchy type means related to the converse Jensen-Steffensen inequality

Slavica Ivelić ; Faculty of Civil Engineering and Architecture, University of Split, Matice hrvatske 15, 21000 Split, Croatia
Milica Klaričić Bakula orcid id orcid.org/0000-0002-8753-2186 ; Faculty of Science, Department of Mathematics, University of Split, Teslina 12, 21000 Split, Croatia
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovi´ca 30, 10000 Zagreb, Croatia

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Abstract

In this paper we apply so called exp-convex method to
the converse Jensen-Steffensen inequality in order to interpret it in
the form of exponentially convex functions. The outcome is a new
class of Cauchy type means and some new interesting inequalities
related to them.

Keywords

Converse Jensen-Steffensen inequality; exponentially convex functions; log-convex functions; Cauchy type means

Hrčak ID:

104412

URI

https://hrcak.srce.hr/104412

Publication date:

27.6.2013.

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